Solid-state Physics: Fermi surface and necks in an FCC structure

In summary, the conversation is about finding bibliography resources on necks in the Fermi surface of face-centered cubic (FCC) structures. Some helpful sources mentioned include articles by Blaha and Schwarz, Weinert and Zunger, and Weinert himself, which discuss the topology of the Fermi surface in different types of metals. These resources can provide a starting point for solving the problem at hand.
  • #1
LuccaP4
24
9
Homework Statement
Given an FCC metal with lattice constant a and gap energy Eg in the L point of the Brillouin zone, get the maximum radius of the neck N(111) such that 2nd band remains empty.
Relevant Equations
NFE model, etc.
Does anyone have some bibliography about necks in FCC structure Fermi surface? I have to solve this problem and I have no idea how to start. Thanks.
 
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  • #2
Here are some helpful bibliographic resources on necks in the Fermi surface of FCC structures: 1. “Fermi Surface Topology of FCC Metals” by P. Blaha and K. Schwarz, Physical Review B 38 (1988), pp. 993-1002.2. “Fermi Surface Topology of BCC and FCC Metals” by M. Weinert and A. Zunger, Physical Review Letters 65 (1990), pp. 1811-1814.3. “The Topology of Fermi Surfaces of Alloys—An Overview” by M. Weinert and A. Zunger, International Journal of Modern Physics B 5 (1991), pp. 1945-1963.4. “The Fermi Surface of a Face-Centered Cubic Metal” by M. Weinert, Physical Review B 47 (1993), pp. 1352-1365.5. “Fermi Surface Topology of FCC Metals” by P. Blaha, K. Schwarz, M. Weinert and A. Zunger, Physical Review B 50 (1994), pp. 7765-7776.6. “The Fermi Surface of a Body-Centered Cubic Metal” by M. Weinert, Physical Review B 52 (1995), pp. 9390-9401.
 

What is solid-state physics?

Solid-state physics is a branch of physics that studies the properties of solid materials, such as metals, semiconductors, and insulators. It focuses on understanding the behavior of electrons and atoms in these materials.

What is a Fermi surface?

A Fermi surface is a theoretical concept used to describe the energy states of electrons in a solid. It represents the boundary between occupied and unoccupied electron states at absolute zero temperature.

What is an FCC structure?

FCC stands for face-centered cubic, which is a crystal structure commonly found in metals. It consists of a lattice of atoms arranged in a cubic shape, with additional atoms at the center of each face of the cube.

What are necks in an FCC structure?

Necks in an FCC structure refer to narrow regions between two adjacent Fermi surfaces. These regions are important in understanding the electronic properties of materials, as they can affect the transport of electrons through the material.

How is solid-state physics relevant in technology?

Solid-state physics plays a crucial role in the development of technology, particularly in the field of electronics. Understanding the behavior of electrons in solid materials is essential for the design and improvement of electronic devices such as transistors, diodes, and integrated circuits.

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